The number 37080
37080 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 103. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 37080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37080: a Harshad number: divisible by its digit sum 18.
- 2
37080 is composite. Its prime factorisation is
- 3
The divisors add up to 121680; without 37080 itself that is 84600, so 37080 is abundant (84600 is more than 37080). Euler's totient φ(37080) = 9792 numbers up to 37080 share no factor with it.
- 4
The digits of 37080 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37080 = 2^{3} \times 3^{2} \times 5 \times 103 \]37080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 121680 |
| Euler totient φ(n) | 9792 |
| Square | 1374926400 |
| Cube | 50982270912000 |
| Square root | 192.561678 (= 6√1030) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.708 × |
37080 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and eighty |
| Binary (base 2) | 1001000011011000 |
| Octal (base 8) | 110330 |
| Hexadecimal (base 16) | 90D8 |
| Base 3 | 1212212100 |
| As time | 37080 seconds = 10 h 18 min 0 s |
Is 37080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37080 ÷ 2 = 18540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37080 ÷ 3 = 12360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37080 ÷ 4 = 9270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37080 ÷ 5 = 7416) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (37080 ÷ 6 = 6180) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (37080 ÷ 8 = 4635) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (37080 ÷ 9 = 4120) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37080 ÷ 10 = 3708) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (37080 ÷ 12 = 3090) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37080 a prime number?
No. 37080 = × × 5 × 103, so it is divisible by 2.
What are the factors of 37080?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 103, 120, 180, 206, 309, 360, 412, 515, 618, 824, 927, 1030, 1236, 1545, 1854, 2060, 2472, 3090, 3708, 4120, 4635, 6180, 7416, 9270, 12360, 18540, 37080.
What is 37080 in binary?
1001000011011000 (hexadecimal 90D8, octal 110330).
What is the square root of 37080?
About 192.5617, exactly 6√1030.
Is 37080 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 37080?
37080 is a Harshad number: divisible by its digit sum 18.